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Fermionic model with a non-Hermitian Hamiltonian

Quantum Physics 2020-01-29 v2 Mathematical Physics math.MP

Abstract

This paper deals with the mathematical spectral analysis and physical interpretation of a fermionic system described by a non-Hermitian Hamiltonian possessing real eigenvalues. A statistical thermodynamical description of such a system is considered. Approximate expressions for the energy expectation value and the number operator expectation value, in terms of the absolute temperature TT and of the chemical potential μ\mu, are obtained, based on the Euler-Maclaurin formula.

Keywords

Cite

@article{arxiv.1907.09347,
  title  = {Fermionic model with a non-Hermitian Hamiltonian},
  author = {Natália Bebiano and João da Providência and Seiya Nishiyama and João P. da Providência},
  journal= {arXiv preprint arXiv:1907.09347},
  year   = {2020}
}
R2 v1 2026-06-23T10:27:12.450Z